Dynamic Cell Mapping Algorithm for Computing Basins of Attraction in Planar Filippov Systems
نویسندگان
چکیده
منابع مشابه
One-Parameter bifurcations in Planar Filippov Systems
We give an overview of all codim 1 bifurcations in generic planar discontinuous piecewise smooth autonomous systems, here called Filippov systems. Bifurcations are defined using the classical approach of topological equivalence. This allows the development of a simple geometric criterion for classifying sliding bifurcations, i.e. bifurcations in which some sliding on the discontinuity boundary ...
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If a family of piecewise smooth systems depending on a real parameter is defined on two different regions of the plane separated by a switching surface, then a boundary equilibrium bifurcation occurs if a stationary point of one of the systems intersects the switching surface at a critical value of the parameter. We derive the leading order terms of a normal form for boundary equilibrium bifurc...
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2017
ISSN: 0218-1274,1793-6551
DOI: 10.1142/s0218127417300415